﻿var language={
"1. 2D SHAPES" : "1. 2D形狀",
"2. 3D SHAPES" : "2. 3D形狀",
"TRIANGLE" : "三角",
"RIGHT TRIANGLE" : "直角三角形",
"SQUARE" : "正方形",
"RECTANGLE" : "長方形",
"PARALLELOGRAM" : "平行四邊形",
"LOZENGE" : "菱形",
"TRAPEZOID" : "梯形",
"CONVEX QUADRILATERAL" : "凸四邊形",
"CIRCLE" : "圓形",
"SEGMENT OF CIRCLE" : "弓形",
"SECTOR OF CIRCLE" : "扇形",
"REGULAR POLYGON OF N SIDES" : "N 邊的正多邊形",
"REGULAR POLYGON" : "正多邊形",
"REGULAR POLYGON" : "正多邊形",
"HEXAGON" : "六邊形",
"SPHERE" : "球形",
"CYLINDER" : "圓柱體",
"CYLINDER" : "圓柱體",
"CONE" : "錐體",
"FRUSTUM OF RIGHT CIRCULAR CONE" : "圓錐台",
"PYRAMID" : "金字塔",
"SQUARE PYRAMID" : "正方棱錐",
"CUBOID" : "長方體",
"CUBOID" : "長方體",
"TRIANGULAR PRISM" : "三棱鏡",
"A: Area" : "A: 面積",
"A: Area, P: Perimeter" : "A: 面積, P: 周長",
"b: Arc length" : "b: 弧長",
"V: Volume, A: Surface Area" : "V: 體積, A: 表面積",
"A: Lateral surface area" : "A: 表面積",
"A: Lateral surface area" : "A: 表面積",
"A: Base Area" : "A: 底面積",
"A: Surface Area" : "A:曲面的面積",

"1. OPERATIONS ON EXPRESSIONS" : "1. 表達式運算",
"POLYNOMIAL" : "多項式",
"FRACTIONS" : "分式",
"IDENTITY" : "恆等式",
"EXPONENTIATION" : "求冪",
"ROOTS" : "方根",
"2. RATE FORMULAS" : "2. 率計算公式",
"3. COMPLEX NUMBERS" : "3. 複數",
"COMPLEX PLANE" : "復平面",
"4. PROGRESSION \NARITHMETIC  PROGRESSION" : "4. 級數 \n等差數列",
"4. PROGRESSION" : "4. 級數", 
"ARITHMETIC PROGRESSION" : "等差數列", 
"GEOMETRIC PROGRESSION" : "等比數列", 
"SUMMATIONS" : "求和",
"5. LOGARITHM" : "5. 對數", 
"DECIMAL LOGARITHM" : "十進制對數",
"NATURAL LOGARITHM" : "自然對數",
"d: common difference" : "d: 公差",
"q: common ratio" : "q: 公比",

"TRIGONOMETRIC FUNCTIONS FOR A RIGHT TRIANGLE" : "一個直角三角形的三角函數",
"TRIGONOMETRIC TABLE" : "三角函數表",
"CO-RATIOS" : "改變角度公式",
"BASIC FORMULAS" : "基本公式",
"MULTIPLE ANGLE FORMULAS" : "多角度公式",
"POWERS OF TRIGONOMETRIC FUNCTIONS" : "三角函數的冪",
"ADDITION FORMULAS" : "加法公式",
"SUM OF TRIGONOMETRIC FUNCTIONS" : "三角函數和",
"PRODUCT OF TRIGONOMETRIC FUNCTIONS" : "三角函數積",
"HALF ANGLE FORMULAS" : "半角公式",
"ANGLES OF A PLANE TRIANGLE" : "三角形內角",
"RELATIONSHIPS AMONG TRIGONOMETRIC FUNCTIONS" : "三角函數之間的關係",
"α, β, γ are 3 angles of a triangle" : "α, β, γ 是三角形 的3個 角",


"1. ALGEBRAIC EQUATIONS" : "1. 代數方程組",
"LINEAR EQUATION" : "一次方程",
"SYSTEM OF TWO LINEAR EQUATIONS" : "兩個線性方程組",
"QUADRATIC EQUATION" : "二次方程",
"2. EXPONENT AND LOGARITHM \NEXPONENTIAL EQUATION" : "2. 指數與對數 \n指數方程",
"2. EXPONENT AND LOGARITHM" : "2. 指數與對數",
"LOGARITHMIC EQUATION" : "對數方程",
"3. TRIGONOMETRIC EQUATION" : "3. 三角函數公式",
"4. INEQUALITIES \NLINEAR INEQUALITY" : "4. 不等式 \n一次不等式",
"4. INEQUALITIES" : "4. 不等式",
"QUADRATIC INEQUALITY" : "二次不等式",
"EXPONENTIAL INEQUALITY" : "指數不等式",
"LOGARITHMIC INEQUALITY" : "對數不等式",
"TRIGONOMETRIC INEQUALITIES" : "三角不等式",
"LINEAR EQUATION" : "一次方程",
"EXPONENTIAL EQUATION" : "指數方程",
"LINEAR INEQUALITY" : "線性不等式",
"CUBIC EQUATION" : "三次方程",
"POINTS" : "點",
"- Distance between two points A and B" : "- A和B兩點之間的距離",
"- Distance between point A and origin:" : "- 點A和原點之間的距離",
"TRIANGLE" : "三角",
"- Area of triangle with vertices at A, B, C" : "- 頂點是A，B，C的三角形面積",
"- Area of a triangle with a vertice at origin" : "- 頂點為原點的三角形面積",
"EQUATION OF LINE" : "線方程",
"- Joining two points A, B" : "- 經過兩點",
"- Passing point A and parallel with line y=ax+b" : "- 經過點A的平行線 y=ax+b",
"- Passing point A and perpendicular with line y=ax+b" : "- 經過點A的垂直線 y=ax+b",
"EQUATION OF CIRCLE" : "圓的方程",
"- Circle with radius r and center at (a, b)" : "- 圓半徑為r，中心為(a,b)",
"- Circle with center at origin" : "- 圓的中心在原點",
"ELLIPSE" : "橢圓形",
"HYPERBOLA" : "雙曲線",
"PARABOLA" : "拋物線",

"Limit \n" : "極限 \n",
"Derivative \n" : "導數 \n",
"C: constant" : "C：常數",
"Differentiation \n" : "微分 \n",
"C: constant; u, v, w: functions of x" : "C: 常數; u, v, w: x的函數",
"LIMIT" : "極限",
"DERIVATIVE" : "導數",
"DIFFERENTIATION" : "微分",

"1. INDEFINITE INTEGRALS" : "1.不定積分",
"C: arbitrary constant, k: constant" : "C：任意常數，k：常數",
"INTEGRALS BY PARTIAL FRACTIONS" : "部分分式的積分",
"INTEGRALS INVOLVING ROOTS" : "涉及根的積分",
"INTEGRALS INVOLVING TRIGONOMETRIC FUNCTIONS" : "涉及三角函數的積分",
"2. DEFINITE INTEGRALS" : "2.定積分",
"APPLICATIONS" : "應用",
"- Surface area created by y=f(x)" : "- 表面積 y=f(x)",
"- Volume of a solid created by y=f(x) rotated around axis:" : "- 實物體積由y=f(x) 繞軸旋轉而得",

"Median" : "中線",
"Angle bisector" : "角平分線",
"SPHERICAL CAP" : "球冠",
"SPHERICAL SEGMENT" : "球檯",
"SPHERICAL SECTOR" : "球面部門",
"TORUS" : "環面",
"FORMULAS WITH t=tan(x/2)" : "與t=tan(x/2)的公式",
"SIDES AND ANGLES OF A PLANE TRIANGLE" : "平面三角形的邊和角",
"Law of sines, cosines and tangents" : "正弦,餘弦和 正切 定理",

"1. PLANE ANALYTIC GEOMETRY" : "1.2D 解析幾何",
"2. SOLID ANALYTIC GEOMETRY" : "2.3D 解析幾何",
"LINE" : "線",
"- Direction Cosines of Line Joining Points A and B" : "- 方向餘弦線連接點A和B",
"EQUATION OF LINE JOINING TWO POINTS A, B" : "線方程經過兩點A，B",
"- In standard form" : "- 標準形式",
"- In parametric form" : "- 參數形式",
"PLANE" : "平面",
"- General equation of a plane" : "- 平面的一般方程",
"- Equation of plane passing through point A, B, C" : "- 通過A,B,C點的平面方程",
"- Equation of plane in intercept form" : "- 平面的截距式方程",
"a,b,c are the intercept on the x,y,z axes, respectively" : "a，b，c分別是在x，y，z軸的截距，",
"- Normal Form for Equation of Plane" : "- 法線式平面方程",
"p: perpendicular distance from O to plane at P; α, β, γ: angles between OP and positive x,y,z axes" : "p為原點到平面的距離; cosα、cosβ、cosγ是平面法矢量的方向餘弦",
"- Distance from point M to a plane" : "- 點M到平面的距離",
"EQUATION OF SPHERE CENTER AT M AND RADIUS R IN RECTANGULAR COORDINATES" : "直角坐標系M和半徑r球心方程",
"EQUATION OF ELLIPSOID WITH CENTER M AND SEMI-AXES a, b, c" : "橢球面中心M和半軸a，b，c",
"ELLIPTIC CYLINDER WITH AXIS AS z AXIS" : "橢圓柱面軸z軸",
"ELLIPTIC CONE WITH AXIS AS z AXIS" : "錐面軸z軸",
"HYPERBOLOID OF ONE SHEET" : "單葉雙曲面",
"HYPERBOLOID OF TWO SHEETS" : "雙葉雙曲面",
"ELLIPTIC PARABOLOID" : "橢圓拋物面",
"HYPERBOLIC PARABOLOID" : "雙曲拋物面",

"TRANSFORMATIONS" : "轉換",
"3. SPECIAL INDEFINITE INTEGRALS" : "3.特別不定積分",
"Integrals involving ax+b" : "積分有ax+b",
"Integrals involving ax+b and px+q" : "積分有ax+b和px+q",
"Integrals involving x^2+a^2" : "積分有x^2+a^2",
"Integrals involving x^2-a^2, x^2&gt;a^2" : "積分有x^2-a^2, x^2&gt;a^2",
"Integrals involving x^2-a^2, x^2&lt;a^2" : "積分有x^2-a^2, x^2&lt;a^​​2",
"Integrals involving ax^2+bx+c" : "積分有ax^2+bx+c",
"Integrals involving x^n+a^n" : "積分有x^n+a^n",
"Integrals involving sin(ax)" : "積分有sin(ax)",
"Integrals involving e^(ax)" : "積分有e^(ax)",
"Integrals involving ln(x)" : "積分有ln(x)",

"TRANSPOSE OF A MATRIX" : "轉置矩陣",
"ADDITION AND SUBTRACTION OF MATRICES" : "矩陣加法",
"MULTIPLICATION OF MATRICES" : "矩陣乘法",
"DETERMINANT OF MATRIX" : "行列式",
"INVERSE OF MATRIX" : "逆矩陣",
"EQUATION IN MATRIX FORM" : "矩陣形式的公式",
"PROPERTIES OF MATRIX CALCULATIONS" : "矩陣計算的屬性",
"LENGTH" : "長度",
"AREA" : "面積",
"VOLUME" : "體積",
"MASS" : "塊",
"SPEED" : "速度",
"TIME" : "時間",
"TEMPERATURE" : "溫度",
"DENSITY" : "密度",
"FORCE" : "作用力",
"ENERGY" : "能源",
"POWER" : "功率",
"PRESSURE" : "壓力",
"Do you know this?" : "你知道嗎?",
"What is special about these calculations?" : "這些計算有什麼特別之處嗎？",
"Can you find the interesting trait of these calculations?" : "你能找到這些計算有趣的特點？",

		
};